Questions from Calculus


Q: Find and sketch the domain of the function. f (

Find and sketch the domain of the function. f (x, y, z) = ln (16 - 4x2 - 4y2 - z2)

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Q: Sketch the graph of the function. f (x,

Sketch the graph of the function. f (x, y) = y

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Q: Find the limit, if it exists, or show that the

Find the limit, if it exists, or show that the limit does not exist.

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Q: Sketch the graph of the function. f (x,

Sketch the graph of the function. f (x, y) = 10 - 4x - 5y

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Q: A projectile is fired from a tank with initial speed 400 m

A projectile is fired from a tank with initial speed 400 m/s. Find two angles of elevation that can be used to hit a target 3000 m away.

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Q: A projectile is fired with an initial speed of 200 m/

A projectile is fired with an initial speed of 200 m/s and angle of elevation 60°. Find (a) the range of the projectile, (b) the maximum height reached, and (c) the speed at impact.

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Q: Sketch the graph of the function. f (x,

Sketch the graph of the function. f (x, y) = sin x

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Q: Sketch the graph of the function. f (x,

Sketch the graph of the function. f (x, y) = 2 - x2 - y2

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Q: Sketch the graph of the function. f (x,

Sketch the graph of the function. f (x, y) = x2 + 4y2 + 1

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Q: Sketch the graph of the function. /

Sketch the graph of the function.

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